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Finding the Third Proportional to 228,103.50 and 357,820.50

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Solution

The third proportional to 228,103.50 and 357,820.50 is: 561,304.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,103.50 : 357,820.50 = 357,820.50 : x
  2. Step 2: Convert to fraction form
    228,103.50/357,820.50 = 357,820.50/x
  3. Step 3: Cross multiply
    228,103.50x = 357,820.50 × 357,820.50
  4. Step 4: Simplify right side
    228,103.50x = 128,035,510,220.25
  5. Step 5: Solve for x
    x = 128,035,510,220.25/228,103.50
  6. Step 6: Final answer
    x = 561,304.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.